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Finding the Third Proportional to 77,020.50 and 112,862

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Solution

The third proportional to 77,020.50 and 112,862 is: 165,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,020.50 : 112,862 = 112,862 : x
  2. Step 2: Convert to fraction form
    77,020.50/112,862 = 112,862/x
  3. Step 3: Cross multiply
    77,020.50x = 112,862 × 112,862
  4. Step 4: Simplify right side
    77,020.50x = 12,737,831,044
  5. Step 5: Solve for x
    x = 12,737,831,044/77,020.50
  6. Step 6: Final answer
    x = 165,382.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.